18 research outputs found
Schematic baryon models, their tight binding description and their microwave realization
A schematic model for baryon excitations is presented in terms of a symmetric
Dirac gyroscope, a relativistic model solvable in closed form, that reduces to
a rotor in the non-relativistic limit. The model is then mapped on a nearest
neighbour tight binding model. In its simplest one-dimensional form this model
yields a finite equidistant spectrum. This is experimentally implemented as a
chain of dielectric resonators under conditions where their coupling is
evanescent and good agreement with the prediction is achieved.Comment: 17 pages, 15 figure
Doorway States and Billiards
Whenever a distinct state is immersed in a sea of complicated and dense
states, the strength of the distinct state, which we refer to as a doorway, is
distributed in their neighboring states. We analyze this mechanism for 2-D
billiards with different geometries. One of them is symmetric and integrable,
another is symmetric but chaotic, and the third has a capricious form. The fact
that the doorway-state mechanism is valid for such highly diverse cases, proves
that it is robust.Comment: 7 pages, 6 figures, Accepted in Proceedings of "Symmetries in
Nature", Symposium in Memoriam Marcos Moshinsk
First experimental realization of the Dirac oscillator
We present the first experimental microwave realization of the
one-dimensional Dirac oscillator, a paradigm in exactly solvable relativistic
systems. The experiment relies on a relation of the Dirac oscillator to a
corresponding tight-binding system. This tight-binding system is implemented as
a microwave system by a chain of coupled dielectric disks, where the coupling
is evanescent and can be adjusted appropriately. The resonances of the finite
microwave system yields the spectrum of the one-dimensional Dirac oscillator
with and without mass term. The flexibility of the experimental set-up allows
the implementation of other one-dimensional Dirac type equations.Comment: 6 figures, 5 page